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Finding the Third Proportional to 9,286.31 and 20,265.19

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Solution

The third proportional to 9,286.31 and 20,265.19 is: 44,223.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,286.31 : 20,265.19 = 20,265.19 : x
  2. Step 2: Convert to fraction form
    9,286.31/20,265.19 = 20,265.19/x
  3. Step 3: Cross multiply
    9,286.31x = 20,265.19 × 20,265.19
  4. Step 4: Simplify right side
    9,286.31x = 410,677,824.41
  5. Step 5: Solve for x
    x = 410,677,824.41/9,286.31
  6. Step 6: Final answer
    x = 44,223.99

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.